On generalized upper sets in BE-algebras

Sun Shin Ahn, Keum Sook So

Research output: Contribution to journalArticlepeer-review

38 Scopus citations

Abstract

In this paper, we develop the idea of a generalized upper set in a BE-algebra. Furthermore, these sets are considered in the context of transitive and self distributive BE-algebras and their ideals, providing characterizations of one type, the generalized upper sets, in terms of the other type, ideals.

Original languageEnglish
Pages (from-to)281-287
Number of pages7
JournalBulletin of the Korean Mathematical Society
Volume46
Issue number2
DOIs
StatePublished - Mar 2009

Keywords

  • (Generalized) upper set
  • BE-algebra
  • Ideal
  • Self distributive

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